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A recent study focused on the number of times men and women who live alone buy...

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Statistics

A recent study focused on the number of times men and women wholive alone buy take-out dinner in a month. Assume that thedistributions follow the normal probability distribution and thepopulation standard deviations are equal. The information issummarized below.

StatisticMenWomen
Sample mean24.5321.89
Sample standard deviation5.694.66
Sample size3539

At the 0.01 significance level, is there a difference in themean number of times men and women order take-out dinners in amonth?

  1. State the decision rule for 0.01 significance level:H0: μMen=μWomen   H1:μMen ≠ μWomen. (Negativevalues should be indicated by a minus sign. Round your answers to 3decimal places.)

  1. Compute the value of the test statistic. (Round youranswer to 3 decimal places.)

  1. What is your decision regarding the null hypothesis?

  1. What is the p-value? (Round your answer to 3decimal places.)

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